2501225892 has 240 divisors, whose sum is σ = 7692115200. Its totient is φ = 700539840.

The previous prime is 2501225879. The next prime is 2501225893. The reversal of 2501225892 is 2985221052.

2501225892 is a `hidden beast` number, since 2 + 50 + 1 + 22 + 589 + 2 = 666.

It is a super-2 number, since 2×2501225892² = 12512261925622391328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2501225893) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2911359 + ... + 2912217.

It is an arithmetic number, because the mean of its divisors is an integer number (32050480).

Almost surely, 2^2501225892 is an apocalyptic number.

2501225892 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2501225892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846057600).

2501225892 is an abundant number, since it is smaller than the sum of its proper divisors (5190889308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2501225892 is a wasteful number, since it uses less digits than its factorization.

2501225892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2501225892 is about 50012.2574175571. The cubic root of 2501225892 is about 1357.4306109033.

The spelling of 2501225892 in words is "two billion, five hundred one million, two hundred twenty-five thousand, eight hundred ninety-two".